Cody

# Problem 42340. Fibonacci Decomposition

Solution 3153426

Submitted on 10 Oct 2020 by Li Ding
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### Test Suite

Test Status Code Input and Output
1   Pass
n = 1; f_correct = 1; assert(isequal(fib_decomposition(n),f_correct))

fibo = 1

2   Pass
n = 4; f_correct = [1 3]; assert(isequal(fib_decomposition(n),f_correct))

fibo = 1 1 2 3 f = 1 3 ind = 1 4 indDiff = 3 f = 1 3 ind = 1 4 indDiff = 3

3   Pass
n = 6; f_correct = [1 5]; assert(isequal(fib_decomposition(n),f_correct))

fibo = 1 1 2 3 5 f = 1 5 ind = 1 5 indDiff = 4 f = 1 5 ind = 1 5 indDiff = 4

4   Pass
n = 2010; f_correct = [2 34 377 1597]; assert(isequal(fib_decomposition(n),f_correct))

fibo = Columns 1 through 14 1 1 2 3 5 8 13 21 34 55 89 144 233 377 Columns 15 through 17 610 987 1597 f = 2 34 377 1597 ind = 3 9 14 17 indDiff = 6 5 3

5   Pass
n = 35601; f_correct = [1 34 144 6765 28657]; assert(isequal(fib_decomposition(n),f_correct))

fibo = Columns 1 through 14 1 1 2 3 5 8 13 21 34 55 89 144 233 377 Columns 15 through 23 610 987 1597 2584 4181 6765 10946 17711 28657 f = 1 34 144 6765 28657 ind = 1 9 12 20 23 indDiff = 8 3 8 3 f = 1 34 144 6765 28657 ind = 1 9 12 20 23 indDiff = 8 3 8 3

6   Pass
n = 9227467; f_correct = [2 9227465]; assert(isequal(fib_decomposition(n),f_correct))

fibo = Columns 1 through 14 1 1 2 3 5 8 13 21 34 55 89 144 233 377 Columns 15 through 28 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 196418 317811 Columns 29 through 35 514229 832040 1346269 2178309 3524578 5702887 9227465 f = 2 9227465 ind = 3 35 indDiff = 32

7   Pass
n = 2015; f_correct = [2 5 34 377 1597]; assert(isequal(fib_decomposition(n),f_correct))

fibo = Columns 1 through 14 1 1 2 3 5 8 13 21 34 55 89 144 233 377 Columns 15 through 17 610 987 1597 f = 2 5 34 377 1597 ind = 3 5 9 14 17 indDiff = 2 4 5 3

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